MathDB
2023 LMT Spring Accuracy Problem 4

Source:

September 29, 2023
geometry

Problem Statement

Rectangle ABCDABCD has side lengths AB=3AB = 3 and BC=7BC = 7. Let EE be a point on BCBC, and let FF be the intersection of DEDE and ACAC. Given that [CDF]=4[CDF] = 4, find DFFE\frac{DF}{FE} .